<PRE><B>Question 180379</B>
Solve for x

{{{2/5 + 1/4}}} = {{{x - 1/2}}}
Get rid of those annoying denominators, multiply equation by 20
20*{{{2/5}}} + 20*{{{1/4}}} = 20(x) - 20*{{{1/2}}}
results
4(2) + 5(1) = 20x - 10(1)
:
8 + 5 = 20x - 10
:
13 + 10 = 20x
:
23 = 20x
:
x = {{{23/20}}}
;
:
Check solution in original equation
{{{2/5 + 1/4}}} = {{{23/20 - 1/2}}}
common denominator
{{{8/20 + 5/20}}} = {{{23/20 - 10/20}}}; confirms our solution</PRE>